It is routine to give chemotherapy prior to surgery in patients with this type of lung cancer, to help keep it from coming back. It is also routine to perform a special type of scan called a PET scan. This PET scan measures how active a cancer is by use of a special tracer made out of sugar. In this study, all patients will have a PET scan and then be treated with standard chemotherapy drugs, either pemetrexed and cisplatin if the cancer is a "non-squamous" cancer or gemcitabine and cisplatin if the cancer is a squamous cancer. In rare cases, the doctor will decide to give carboplatin instead of cisplatin. In most patients, a repeat PET scan will show that the tumor is decreasing and they will complete standard chemotherapy then go on to have surgery.